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3 years ago

Please help . I’ll mark you as brainliest if correct

Mathematics

1 answer:

algol [13]3 years ago

5 0

Answer: A 44 feet

Step-by-step explanation: You count the 32 feet plus the 12 feet. 32+12=44

You would not subtract because that wouldn’t make sense, and negative feet wouldn’t make sense either, so it has to be 44 feet.

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An integer is 3 less than 5 times together. If the product of the two integers is 36, then find the integers

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Step-by-step explanation:

An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.

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What is the distance between the points? round to the nearest tenth if neccesary

Evgesh-ka [11]

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Step-by-step explanation:

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3 years ago

Determine the area of the shaded region (grey) in the quadratic form.

NeX [460]

Answer:

The area of shaded region is: $13x^2+6x-15$

Step-by-step explanation:

We can see in the diagram that

$Length\ of\ gray\ rectangle = l_g = 3x+5\\Width\ of\ gray\ rectangle = w_g = 4x-3$

The area of rectangle is given by:

Area = Length * width

<u>Now for gray rectangle</u>

$A_g = l_g * w_g\\= (3x+5)(4x-3)\\= 3x(4x-3)+5(4x-3)\\= 12x^2-9x+20x-15\\=12x^2+11x-15$

<u>For White Rectangle:</u>

$Length = l = 5-x\\Width = w = x\\A_w = l * w\\A_w = (5-x)(x)\\= 5x-x^2$

Now,

The area of shaded region will be calculated by subtracting the area of white triangle from the gray triangle.

$A_s = A_g - A_w\\= (12x^2+11x-15) - (5x-x^2)\\=12x^2+11x-15-5x+x^2\\=12x^2+x^2+11x-5x-15\\=13x^2+6x-15$

Hence,

The area of shaded region is: $13x^2+6x-15$

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3 years ago